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Finding the Fourth Proportional to 14,824, 20,457.68 and 8,451.60

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Solution

The fourth proportional to 14,824, 20,457.68 and 8,451.60 is: 11,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824 : 20,457.68 = 8,451.60 : x
  2. Step 2: Convert to fraction form
    14,824/20,457.68 = 8,451.60/x
  3. Step 3: Cross multiply
    14,824x = 20,457.68 × 8,451.60
  4. Step 4: Simplify right side
    14,824x = 172,900,128.29
  5. Step 5: Solve for x
    x = 172,900,128.29/14,824
  6. Step 6: Final answer
    x = 11,663.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.